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<h2 id="1041">10.4.1 &nbsp; 线性查找：以时间换空间<a class="headerlink" href="#1041" title="Permanent link">&para;</a></h2>
<p>考虑直接遍历所有可能的组合。如图 10-9 所示，我们开启一个两层循环，在每轮中判断两个整数的和是否为 <code>target</code> ，若是则返回它们的索引。</p>
<p><a class="glightbox" href="../replace_linear_by_hashing.assets/two_sum_brute_force.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="线性查找求解两数之和" src="../replace_linear_by_hashing.assets/two_sum_brute_force.png" /></a></p>
<p><a class="glightbox" href="../replace_linear_by_hashing.assets/two_sum_brute_force.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="线性查找求解两数之和" class="animation-figure" src="../replace_linear_by_hashing.assets/two_sum_brute_force.png" /></a></p>
<p align="center"> 图 10-9 &nbsp; 线性查找求解两数之和 </p>
<div class="tabbed-set tabbed-alternate" data-tabs="1:12"><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><input id="__tabbed_1_5" name="__tabbed_1" type="radio" /><input id="__tabbed_1_6" name="__tabbed_1" type="radio" /><input id="__tabbed_1_7" name="__tabbed_1" type="radio" /><input id="__tabbed_1_8" name="__tabbed_1" type="radio" /><input id="__tabbed_1_9" name="__tabbed_1" type="radio" /><input id="__tabbed_1_10" name="__tabbed_1" type="radio" /><input id="__tabbed_1_11" name="__tabbed_1" type="radio" /><input id="__tabbed_1_12" name="__tabbed_1" type="radio" /><div class="tabbed-labels"><label for="__tabbed_1_1">Python</label><label for="__tabbed_1_2">C++</label><label for="__tabbed_1_3">Java</label><label for="__tabbed_1_4">C#</label><label for="__tabbed_1_5">Go</label><label for="__tabbed_1_6">Swift</label><label for="__tabbed_1_7">JS</label><label for="__tabbed_1_8">TS</label><label for="__tabbed_1_9">Dart</label><label for="__tabbed_1_10">Rust</label><label for="__tabbed_1_11">C</label><label for="__tabbed_1_12">Zig</label></div>
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<div class="tabbed-set tabbed-alternate" data-tabs="2:3"><input checked="checked" id="__tabbed_2_1" name="__tabbed_2" type="radio" /><input id="__tabbed_2_2" name="__tabbed_2" type="radio" /><input id="__tabbed_2_3" name="__tabbed_2" type="radio" /><div class="tabbed-labels"><label for="__tabbed_2_1">&lt;1&gt;</label><label for="__tabbed_2_2">&lt;2&gt;</label><label for="__tabbed_2_3">&lt;3&gt;</label></div>
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<p><a class="glightbox" href="../replace_linear_by_hashing.assets/two_sum_hashtable_step1.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="辅助哈希表求解两数之和" src="../replace_linear_by_hashing.assets/two_sum_hashtable_step1.png" /></a></p>
<p><a class="glightbox" href="../replace_linear_by_hashing.assets/two_sum_hashtable_step1.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="辅助哈希表求解两数之和" class="animation-figure" src="../replace_linear_by_hashing.assets/two_sum_hashtable_step1.png" /></a></p>
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<p><a class="glightbox" href="../replace_linear_by_hashing.assets/two_sum_hashtable_step2.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="two_sum_hashtable_step2" src="../replace_linear_by_hashing.assets/two_sum_hashtable_step2.png" /></a></p>
<p><a class="glightbox" href="../replace_linear_by_hashing.assets/two_sum_hashtable_step2.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="two_sum_hashtable_step2" class="animation-figure" src="../replace_linear_by_hashing.assets/two_sum_hashtable_step2.png" /></a></p>
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<p><a class="glightbox" href="../replace_linear_by_hashing.assets/two_sum_hashtable_step3.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="two_sum_hashtable_step3" src="../replace_linear_by_hashing.assets/two_sum_hashtable_step3.png" /></a></p>
<p><a class="glightbox" href="../replace_linear_by_hashing.assets/two_sum_hashtable_step3.png" data-type="image" data-width="100%" data-height="auto" data-desc-position="bottom"><img alt="two_sum_hashtable_step3" class="animation-figure" src="../replace_linear_by_hashing.assets/two_sum_hashtable_step3.png" /></a></p>
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